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Finding the Fourth Proportional to 1,393.95, 1,919.52 and 1,000.29

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Solution

The fourth proportional to 1,393.95, 1,919.52 and 1,000.29 is: 1,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.95 : 1,919.52 = 1,000.29 : x
  2. Step 2: Convert to fraction form
    1,393.95/1,919.52 = 1,000.29/x
  3. Step 3: Cross multiply
    1,393.95x = 1,919.52 × 1,000.29
  4. Step 4: Simplify right side
    1,393.95x = 1,920,076.66
  5. Step 5: Solve for x
    x = 1,920,076.66/1,393.95
  6. Step 6: Final answer
    x = 1,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.